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Finding the Fourth Proportional to 6,523.84, 8,947.54 and 6,255.93

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Solution

The fourth proportional to 6,523.84, 8,947.54 and 6,255.93 is: 8,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.84 : 8,947.54 = 6,255.93 : x
  2. Step 2: Convert to fraction form
    6,523.84/8,947.54 = 6,255.93/x
  3. Step 3: Cross multiply
    6,523.84x = 8,947.54 × 6,255.93
  4. Step 4: Simplify right side
    6,523.84x = 55,975,139.17
  5. Step 5: Solve for x
    x = 55,975,139.17/6,523.84
  6. Step 6: Final answer
    x = 8,580.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.